Pith Number

pith:OLEJOIHB

pith:2012:OLEJOIHBB7U23ASKUOAOPHCX7C

not attested not anchored not stored refs pending

Bridge number, Heegaard genus and non-integral Dehn surgery

Cameron Gordon, John Luecke, Kenneth L. Baker

arxiv:1202.0263 v2 · 2012-02-01 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLEJOIHBB7U23ASKUOAOPHCX7C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:06:52.055794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c89720e10fe9ad824aa380e79c57f8a05e55d0791d6667b4d62ffb26b7123f

Aliases

arxiv: 1202.0263 · arxiv_version: 1202.0263v2 · doi: 10.48550/arxiv.1202.0263 · pith_short_12: OLEJOIHBB7U2 · pith_short_16: OLEJOIHBB7U23ASK · pith_short_8: OLEJOIHB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OLEJOIHBB7U23ASKUOAOPHCX7C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 72c89720e10fe9ad824aa380e79c57f8a05e55d0791d6667b4d62ffb26b7123f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0450dd6b498b5da8829dac7b94a7962222678826f2b3525d7ba8a6317dcbd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-01T20:25:46Z",
    "title_canon_sha256": "0e1fa40ec1d41892096b57f1acd301d4bc2c60e493af02610932a82b84cd1b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0263",
    "kind": "arxiv",
    "version": 2
  }
}